Applied Calculus for the Managerial, Life, and Social Sciences: With Infotrac

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In APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accessible yet accurate presentation of mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Sixth Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching core concepts.

Preface

ix

CHAPTER 1 Preliminaries

2

(47)

1.1 Precalculus Review I

3

(9)

1.2 Precalculus Review II

12

(12)

1.3 The Cartesian Coordinate System

24

(8)

1.4 Straight Lines

32

(15)

Chapter 1 Summary of Principal Formulas and Terms

47

(1)

Chapter 1 Review Exercises

47

(2)

CHAPTER 2 Functions, Limits, and the Derivative

49

(111)

2.1 Functions and Their Graphs

50

(19)

Using Technology: Graphing a Function

64

(5)

2.2 The Algebra of Functions

69

(5)

PORTFOLIO: Michael Marchlik

74

(86)

2.3 Functions and Mathematical Models

78

(19)

Using Technology: Finding the Points of Intersection of Two Graphs and Modeling

92

(5)

2.4 Limits

97

(21)

Using Technology: Finding the Limit of a Function

114

(4)

2.5 One-Sided Limits and Continuity

118

(18)

Using Technology: Finding the Points of Discontinuity of a Function

132

(4)

2.6 The Derivative

136

(25)

Using Technology: Graphing a Function and Its Tangent Line

152

(5)

Chapter 2 Summary of Principal Formulas and Terms

157

(1)

Chapter 2 Review Exercises

158

(2)

CHAPTER 3 Differentiation

160

(90)

3.1 Basic Rules of Differentiation

161

(14)

Using Technology: Finding the Rate of Change of a Function

170

(5)

3.2 The Product and Quotient Rules

175

(13)

Using Technology: The Product and Quotient Rules

184

(4)

3.3 The Chain Rule

188

(13)

Using Technology: Finding the Derivative of a Composite Function

196

(5)

3.4 Marginal Functions in Economics

201

(14)

3.5 Higher-Order Derivatives

215

(9)

Using Technology: Finding the Second Derivative of a Function at a Given Point